Lesson 1 Exit Ticket 3

Lesson 1 Exit Ticket 3•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
1. Each
Date
is 1 square unit. Do both rectangles have the same area? Explain how you know.
a.
b.
Lesson 1:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Understand area as an attribute of plane figures.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.A.10
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2 Exit Ticket 3•4
Name
Date
1. Each
is a square unit. Find the area of the rectangle below. Then draw a different rectangle with
the same number of square units.
2. Zach creates a rectangle with an area of 6 square inches. Luke makes a rectangle with an area of 6 square
centimeters. Do the two rectangles have the same area? Why or why not?
Lesson 2:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Decompose and recompose shapes to compare areas.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.A.21
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 3 Exit Ticket 3
Date
1. Each
is 1 square unit. Write the area of Rectangle A. Then draw another rectangle with the same
area in the space provided.
A
Area = ____________________________
2. Each
is 1 square unit. Does this rectangle have the same area as Rectangle A? Explain.
Lesson 3:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Model tiling with centimeter and inch unit squares as a strategy to
measure area.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.A.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 4 Exit Ticket 3•4
Date
Label the side lengths of each rectangle. Then match the rectangle to its total area.
12 sq cm
5 sq in
6 sq cm
Lesson 4:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Relate side lengths with the number of tiles on a side.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.A.44
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 5 Exit Ticket 3•4
Date
Darren has a total of 28 square-centimeter tiles. He arranges them into 7 equal rows. Draw Darren’s
rectangle. Label the side lengths, and write a multiplication equation to find the total area.
Lesson 5:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Form rectangles by tiling with unit squares to make arrays.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.B.11
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 6 Exit Ticket 3
Date
The tiled floor in Cayden’s dining room has a rug on it as shown below. How many square tiles are on the
floor, including the tiles under the rug?
Lesson 6:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Draw rows and columns to determine the area of a rectangle, given an
incomplete array.
10/1/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.B.21
Lesson 7 Exit Ticket 3•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
1. Label the side lengths of Rectangle A on the grid below. Use a straight edge to draw a grid of equal size
squares within Rectangle A. Find the total area of Rectangle A.
Area: ________ square units
Rectangle A
2. Mark makes a rectangle with 36 square-centimeter tiles. Gia makes a rectangle with 36 square-inch tiles.
Whose rectangle has a bigger area? Explain your answer.
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Interpret area models to form rectangular arrays.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.B.34
Lesson 8 Exit Ticket 3
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
1. Write a multiplication sentence to find the area of the rectangle below.
9 inches
3 inches
Area: _____ sq in
_______ × _______ = _______
2. Write a multiplication sentence and a division sentence to find the unknown side length for the rectangle
below.
_____ inches
6 inches
Area: 54 sq in
_______ × _______ = _______
_______ × _______ = _______
_______
Lesson 8:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
_______ = _______
Find the area of a rectangle through multiplication of the side lengths.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.B.47
Lesson 9 Exit Ticket 3•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Lamar uses square tiles to make the 2 rectangles shown below.
Rectangle A
Rectangle B
a. Label the side lengths of the 2 rectangles.
b. Write equations to find the areas of the rectangles.
Area of Rectangle A: _______________
Area of Rectangle B: _______________
c. Lamar pushes Rectangle A next to Rectangle B to make a bigger rectangle. What is the area of the
bigger rectangle? How do you know?
Lesson 9:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Analyze different rectangles and reason about their area.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.C.10
Lesson 10 Exit Ticket 3
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Label the side lengths of the shaded and unshaded rectangles. Then find the total area of the large rectangle
by adding the areas of the 2 smaller rectangles.
a.
b.
8 × 7 = 8 × ( _____ + _____ )
= (8 ×_____ ) + (8 ×_____ )
9 × 13 = 9 × ( _____ + _____ )
= ______ + ______
= ( ____ × _____ ) + ( _____×_____ )
= ______ square units
= ______ + ______
= ______ square units
Lesson 10:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply the distributive property as a strategy to find the total area of a
large rectangle by adding two products.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.C.21
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 11 Exit Ticket 3
Date
1. Find the area of the rectangle.
8 cm
8 cm
2. The rectangle below has the same area as the rectangle in Problem 1. Move the ( ) to find the missing
side lengths. Then solve.
_______ cm
Area: 8 × 8 = (4 × 2) × 8
______ cm
=4×2×8
= _____ × _____
= ______ sq cm
Lesson 11:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Demonstrate possible whole number side lengths of rectangles with
areas of 24, 36, 48, or 72 square units using the associative property.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.C.32
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 12 Exit Ticket 3
Date
1. A painting has an area of 63 square inches. One side length is 9 inches. What is the other side length?
9 inches
Area = 63 square inches
2. Judy’s mini dollhouse measures 4 inches by 16 inches. What is the total area of the dollhouse?
Lesson 12:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve word problems involving area.
9/30/13
4.D.11
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 13 Exit Ticket 3
Date
The following figure is made up of 2 rectangles. Find the total area of the figure.
A
B
Area of A + Area of B: ________ + _________ = _________ sq units
Lesson 13:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Find areas by decomposing into rectangles or completing composite
figures to form rectangles.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.22
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 14 Exit Ticket 3
Date
Mary draws an 8 cm by 6 cm rectangle on her grid paper. She shades a square with a side length of 4 cm
inside her rectangle. What area of the rectangle is left unshaded?
Lesson 14:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Find areas by decomposing into rectangles or completing composite
figures to form rectangles.
10/1/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.35
Lesson 15 Exit Ticket 3•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Jack uses grid paper to create a floor plan of his room. Label the missing measurements and find the area of
the items listed below.
Desk
Table
Bed
Dresser
Name
Equations
Total Area
a. Jack’s Room
________ square units
b. Bed
________ square units
c. Table
________ square units
d. Dresser
________ square units
e. Desk
________ square units
Lesson 15:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply knowledge of area to determine areas of rooms in a given floor
plan.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.47
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Lesson 16 Exit Ticket 3•4
Date
Find the area of the shaded region. Then draw and label a rectangle with the same area.
7 cm
4 cm
7 cm
4 cm
Lesson 16:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply knowledge of area to determine areas of rooms in a given floor
plan.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.56